Existence and multiplicity of solutions for superquadratic noncooperative variational elliptic systems
Existence and multiplicity of solutions for superquadratic noncooperative variational elliptic systems
复制标题
超二次非合作变分椭圆系统解的存在性和多重性
DOI：
10.12775/tmna.1998.026
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发表时间：
1998
影响因子：
0.7
通讯作者：
D. Lupo
中科院分区：
文献类型：
--
作者：
D. Lupo
(ES)其中Ω是R中的有界开域，具有光滑边界，α ≥ 0，δ ≥ 0，γ ≥ 0是三个真实的参数，F ∈ C（R，R）.（ES）的解表示反应扩散系统的稳态解，它可以从数学生物学或化学反应中得到（例如见[18]和[22]）。例如，下面的例子是（ES）的特殊情况。λ-ω系统这类系统作为反应扩散系统的原型得到了广泛的应用
(ES) −∆u = αu− δv + Fu(u, v) in Ω, ∆v = −δu− γv + Fv(u, v) in Ω, u = v = 0 on ∂Ω, where Ω is a bounded open domain in R with smooth boundary, α ≥ 0, δ ≥ 0, γ ≥ 0 are three real parameters and F ∈ C(R, R). The solutions of (ES) represent the steady state solutions of reaction-diffusion systems which are derivedfrom several applications, such as mathematical biology or chemical reactions (see for instance [18] and [22]). The following examples are, for instance, particular cases of (ES). λ−ω systems. This kind of system has been widely used as a prototype of reaction-diffusion system